Evolution of Landau levels into edge states in graphene
Two-dimensional electron systems in the presence of a magnetic field support topologically ordered states, in which the coexistence of an insulating bulk with conducting one-dimensional chiral edge states gives rise to the quantum Hall effect. For systems confined by sharp boundaries, theory predict...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | en_US |
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Nature Publishing Group
2014
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| Online Access: | http://hdl.handle.net/1721.1/89667 https://orcid.org/0000-0002-4268-731X |
| _version_ | 1811072297127116800 |
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| author | Li, Guohong Luican-Mayer, Adina Abanin, Dmitry A. Levitov, Leonid Andrei, Eva Y. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Li, Guohong Luican-Mayer, Adina Abanin, Dmitry A. Levitov, Leonid Andrei, Eva Y. |
| author_sort | Li, Guohong |
| collection | MIT |
| description | Two-dimensional electron systems in the presence of a magnetic field support topologically ordered states, in which the coexistence of an insulating bulk with conducting one-dimensional chiral edge states gives rise to the quantum Hall effect. For systems confined by sharp boundaries, theory predicts a unique edge-bulk correspondence, which is central to proposals of quantum Hall-based topological qubits. However, in conventional semiconductor-based two-dimensional electron systems, these elegant concepts are difficult to realize, because edge-state reconstruction due to soft boundaries destroys the edge-bulk correspondence. Here we use scanning tunnelling microscopy and spectroscopy to follow the spatial evolution of electronic (Landau) levels towards an edge of graphene supported above a graphite substrate. We observe no edge-state reconstruction, in agreement with calculations based on an atomically sharp boundary. Our results single out graphene as a system where the edge structure can be controlled and the edge-bulk correspondence is preserved. |
| first_indexed | 2024-09-23T09:03:44Z |
| format | Article |
| id | mit-1721.1/89667 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:03:44Z |
| publishDate | 2014 |
| publisher | Nature Publishing Group |
| record_format | dspace |
| spelling | mit-1721.1/896672022-09-26T10:09:28Z Evolution of Landau levels into edge states in graphene Li, Guohong Luican-Mayer, Adina Abanin, Dmitry A. Levitov, Leonid Andrei, Eva Y. Massachusetts Institute of Technology. Department of Physics Levitov, Leonid Two-dimensional electron systems in the presence of a magnetic field support topologically ordered states, in which the coexistence of an insulating bulk with conducting one-dimensional chiral edge states gives rise to the quantum Hall effect. For systems confined by sharp boundaries, theory predicts a unique edge-bulk correspondence, which is central to proposals of quantum Hall-based topological qubits. However, in conventional semiconductor-based two-dimensional electron systems, these elegant concepts are difficult to realize, because edge-state reconstruction due to soft boundaries destroys the edge-bulk correspondence. Here we use scanning tunnelling microscopy and spectroscopy to follow the spatial evolution of electronic (Landau) levels towards an edge of graphene supported above a graphite substrate. We observe no edge-state reconstruction, in agreement with calculations based on an atomically sharp boundary. Our results single out graphene as a system where the edge structure can be controlled and the edge-bulk correspondence is preserved. United States. Dept. of Defense (DOE DE-FG02-99ER45742) National Science Foundation (U.S.) (NSF DMR 1207108) Alcatel-Lucent Foundation 2014-09-16T20:47:55Z 2014-09-16T20:47:55Z 2013-04 2012-11 Article http://purl.org/eprint/type/JournalArticle 2041-1723 http://hdl.handle.net/1721.1/89667 Li, Guohong, Adina Luican-Mayer, Dmitry Abanin, Leonid Levitov, and Eva Y. Andrei. “Evolution of Landau Levels into Edge States in Graphene.” Nature Communications 4 (April 23, 2013): 1744. https://orcid.org/0000-0002-4268-731X en_US http://dx.doi.org/10.1038/ncomms2767 Nature Communications Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Nature Publishing Group arXiv |
| spellingShingle | Li, Guohong Luican-Mayer, Adina Abanin, Dmitry A. Levitov, Leonid Andrei, Eva Y. Evolution of Landau levels into edge states in graphene |
| title | Evolution of Landau levels into edge states in graphene |
| title_full | Evolution of Landau levels into edge states in graphene |
| title_fullStr | Evolution of Landau levels into edge states in graphene |
| title_full_unstemmed | Evolution of Landau levels into edge states in graphene |
| title_short | Evolution of Landau levels into edge states in graphene |
| title_sort | evolution of landau levels into edge states in graphene |
| url | http://hdl.handle.net/1721.1/89667 https://orcid.org/0000-0002-4268-731X |
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